Afootball coach gives half his players a protein bar to eat before each game; the other players do not receive the protein bar. after a month of games, he analyzes their playing stats. he concludes the protein bar improve their performance on the field. how can the coach test the means to be sure the results are not likely to happen by chance?

a. he can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.
b. he can pick players at random and analyze their playing stats without calculating means.
c. he can analyze the two groups by calculating the means and the difference of the means.
d. he can pick the players he wants to analyze based on the best stats.

The answer is option A.

Step-by-step explanation:

How can the coach test the means to be sure the results are not likely to happen by chance?

A.He can re randomize the results by separating the two groups randomly, then calculate the means and the difference of the means. (This is because, in statistical data, it cannot happen by chance. It has to be a valid occurrence, nothing by chance.)

A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.

Step-by-step explanation:

He can randomize again the players that are receiving the bar and those who are not, and then after that he can see if the results from the previous experiment were accurate or if they happened just by chance. In this way he can make sure that if the results with this two new groups after randomizing are the same that the bar is actually improving the players an edge on performance.

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step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: